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Finding the Third Proportional to 18,700 and 40,538

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Solution

The third proportional to 18,700 and 40,538 is: 87,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700 : 40,538 = 40,538 : x
  2. Step 2: Convert to fraction form
    18,700/40,538 = 40,538/x
  3. Step 3: Cross multiply
    18,700x = 40,538 × 40,538
  4. Step 4: Simplify right side
    18,700x = 1,643,329,444
  5. Step 5: Solve for x
    x = 1,643,329,444/18,700
  6. Step 6: Final answer
    x = 87,878.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.